Statistics of Poincare Recurrences and the Structure of the Stochastic Layer of a Nonlinear Resonance

摘要

Motion in the stochastic layer around the separatrix of a nonlinear resonance was investigated. The integral distribution function F(tau) of trajectory recurrence times tau to the center of the layer was numerically determined. It was found that the distribution F(tau) = A tau exp - /sup p/ is a power function, the exponent assuming two different values: for tau less than or equal to tau sub 0 , p = 1/2 and for tau >> tau sub 0 , p = 3/2 (time tau sub 0 is determined by the characteristics of the layer). (ERA citation 10:045774)